 | Education Department,London - 1876 - 1010 pages
...of a rhombus to a point within it, they shall be together less than the perimeter of the rhombus. 4. If a straight line fall on two parallel straight lines it makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...straight line intersect two parallel straight lines, it makes the alternate angles equal; it makes the exterior angle equal to the interior and opposite angle on the same side, and the sum of the two interior angles on the same side equal to two right angles. Let the straight... | |
 | 1879 - 636 pages
...straight line fnll on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 3. Triangles... | |
 | Euclides - 1879 - 146 pages
...prove that the sum of the perpendiculars is the same whatever be the position of D. PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...they are alternate angles; therefore AB and CD are parallel (I. 25). Proposition 27. Theorem.—If a straight line fall on two parallel straight lines, it makes— 1. The alternate angles equal to each other. 2. The exterior angle equal to the opposite interior angle on... | |
 | Edward Harri Mathews - 1879 - 94 pages
...of a rhombus to a point within it, they shall be together less than the perimeter of the rhombus. 4. If a straight line fall on two parallel straight lines it makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the... | |
 | Moffatt and Paige - 1879 - 378 pages
...right angles. (QED) boot; the converse of that axiom ? If so, is there any objection to the axiom ? If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Great Britain. Civil Service Commission - 1879 - 620 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angles ; therefore AB is parallel to CD. [I. 27. Wherefore, if a straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one anotlier, and the exterior angle equal to the interior and opposite... | |
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If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal... 
